DIMENSIONS FOR RANDOM SELF-CONFORMAL SETS

被引:0
作者
Liu Yanyan and Wu Jun (Wuhan University
机构
关键词
Random self-conformal set; Hausdorff dimension; Box-counting dimension;
D O I
暂无
中图分类号
O242 [数学模拟、近似计算];
学科分类号
070102 ;
摘要
A set is called regular if its Hausdorff dimension and upper box-counting dimension coincide. In this paper,we prove that the random self-conformal set is regular almost surely. Also we determine the dimensions for a class of random self-conformal sets.
引用
收藏
页码:342 / 354
页数:13
相关论文
共 4 条
[1]  
The multifractal spectrum of statistically self-similar measures[J] . K. J. Falconer.Journal of Theoretical Probability . 1994 (3)
[2]   SELF-SIMILAR RANDOM MEASURES ARE LOCALLY SCALE-INVARIANT [J].
PATZSCHKE, N ;
ZAHLE, M .
PROBABILITY THEORY AND RELATED FIELDS, 1993, 97 (04) :559-574
[3]  
Random recursive construction of self-similar fractal measures. The noncompact case[J] . Matthias Arbeiter.Probability Theory and Related Fields . 1991 (4)
[4]   STATISTICALLY SELF-SIMILAR FRACTALS [J].
GRAF, S .
PROBABILITY THEORY AND RELATED FIELDS, 1987, 74 (03) :357-392